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Finding the Fourth Proportional to 321,253.45, 443,305.37 and 178,010.42

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Solution

The fourth proportional to 321,253.45, 443,305.37 and 178,010.42 is: 245,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,253.45 : 443,305.37 = 178,010.42 : x
  2. Step 2: Convert to fraction form
    321,253.45/443,305.37 = 178,010.42/x
  3. Step 3: Cross multiply
    321,253.45x = 443,305.37 × 178,010.42
  4. Step 4: Simplify right side
    321,253.45x = 78,912,973,330.45
  5. Step 5: Solve for x
    x = 78,912,973,330.45/321,253.45
  6. Step 6: Final answer
    x = 245,640.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.